25345474560 has 480 divisors, whose sum is σ = 103050904320. Its totient is φ = 5789712384.

The previous prime is 25345474559. The next prime is 25345474579. The reversal of 25345474560 is 6547454352.

25345474560 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 547 + 45 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15482062 + ... + 15483698.

It is an arithmetic number, because the mean of its divisors is an integer number (214689384).

Almost surely, 2^25345474560 is an apocalyptic number.

25345474560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25345474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51525452160).

25345474560 is an abundant number, since it is smaller than the sum of its proper divisors (77705429760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25345474560 is an equidigital number, since it uses as much as digits as its factorization.

25345474560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 45.

The spelling of 25345474560 in words is "twenty-five billion, three hundred forty-five million, four hundred seventy-four thousand, five hundred sixty".